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Finding the Fourth Proportional to 4,612.34, 6,363.09 and 3,215.90

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Solution

The fourth proportional to 4,612.34, 6,363.09 and 3,215.90 is: 4,436.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.34 : 6,363.09 = 3,215.90 : x
  2. Step 2: Convert to fraction form
    4,612.34/6,363.09 = 3,215.90/x
  3. Step 3: Cross multiply
    4,612.34x = 6,363.09 × 3,215.90
  4. Step 4: Simplify right side
    4,612.34x = 20,463,061.13
  5. Step 5: Solve for x
    x = 20,463,061.13/4,612.34
  6. Step 6: Final answer
    x = 4,436.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.